assignment problem

assignment problem

A special case of the transportation problem in a linear program, in which the number of sources (assignees) equals the number of designations (assignments) and each supply and each demand equals 1.

assignment problem

(mathematics, algorithm)

(Or "linear assignment") Any problem
involving minimising the sum of C(a, b) over a set P of pairs
(a, b) where a is an element of some set A and b is an element
of set B, and C is some function, under constraints such as
"each element of A must appear exactly once in P" or similarly
for B, or both.

For example, the a's could be workers and the b's projects.

The problem is "linear" because the "cost function" C()
depends only on the particular pairing (a, b) and is
independent of all other pairings.

Using 2009 Medicare claims linked to the American Medical Association (AMA) Group Practice File, we quantified the potential assignment problem for community-dwelling beneficiaries caused by the consideration of post-acute E&M services as primary care and discuss its implications for the two Medicare ACO programs.

Traditional gate assignment problem only considers constraints related to gate assignment to determine the flight-to-gate assignment scheme minimizing the objective function, while gates and runways combinatorial optimization should consider constraints related to both gate assignment and runway assignment to make the optimal assignment scheme that minimize the flight taxiing time.

Among them berth allocation is a typical assignment problem (AP), and equipment configuration can be reduced to a multiple knapsack problem (MKP), while trailer routing is modeled on a traveling salesman problem (TSP) basis.

In [1] a solution to the robust pole assignment problem via reflection coefficients of polynomials has been provided for discrete-time single-input single-output (SISO) linear systems following the ideas of fixed-order output controller design.

For the present study, the instructor roughly classified each assignment problem according to its major purpose and then compared the assignment problems to the essay questions students had to complete on each exam.

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